Depends on the empress, and the empire.
A long-standing empire will have naming expectations of its royalty, which is why British royals can choose an appropriate name when they become king (
Albert ->
George) or queen (
Alexandrina ->
Victoria, her mn).
A regime change would introduce its own naming system and expectations.
When
Cinderella married the
Prince, did she revert to
Ella, stay
Cinderella just because she could, or go megatrad Marie-Eugenie-Claudine-Louise?
I'd rather fancy something like Emperor
George Victor Charles Claudius Malcolm and Empress Tracey-Jo.